Answer:
(20-3x)/2 GB
Explanation:
Total amount of data on my computer = 10GB
Total amount of data occupied by movies = x GB
If pictures take up half the amount of space that movies do, then;
Total amount of data occupied by pictures = 1/2 of space occupied by movies = 1/2 x
If the remaining are music, the amount of space occupied by music will be expressed as shown;
Total space -(space occupied by movies + space occupied by pictures)
= 10 - (x+1/2 x)
Total amount of data occupied by music = 10 - (x+1/2 x) GB
On simplification;
= 10 - (x+1/2 x)
= 10-{(2x+x)/2}
= 10 - {3x/2}
= (20-3x)/2 GB
Hence, amount of gigabytes of music stored on my computer is expressed as (20-3x)/2 GB.
Answer:
The answer is 125.6
Step-by-step explanation:
C= 2x3.14x20
C=6.28x 20
C= 125.6
Step-by-step explanation:
<u>Given</u>
- f(x) = 4x³ + 3x² - 2x - 1
<u>Divide it by the following:</u>
<u>(a) 2x + 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
- 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
- (2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
<u>(b) 2x - 3</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
- (2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
<u>(c) 4x - 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
- (4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
<u>(d) x + 2</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
- (x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
